GCD of 891, 339, 69, 589 Calculator

Given Input numbers are 891, 339, 69, 589

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 891, 339, 69, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 339, 69, 589 is 1.

Therefore, GCD of numbers 891, 339, 69, 589 is 1

Given Input Data is 891, 339, 69, 589

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 339 is 3 x 113

Prime Factorization of 69 is 3 x 23

Prime Factorization of 589 is 19 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(891, 339) = 100683

GCD(891, 339) = ( 891 x 339 ) / 100683

GCD(891, 339) = 302049 / 100683

GCD(891, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 589

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 589) = 1767

GCD(3, 589) = ( 3 x 589 ) / 1767

GCD(3, 589) = 1767 / 1767

GCD(3, 589) = 1

GCD of 891, 339, 69, 589 is 1

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1. What is the GCD of 891, 339, 69, 589?

GCD of 891, 339, 69, 589 is 1

2. Where do I get the detailed procedure to find GCD of 891, 339, 69, 589?

You can find a detailed procedure to find GCD of 891, 339, 69, 589 on our page.

3. How to find GCD of 891, 339, 69, 589 on a calculator?

You can find the GCD of 891, 339, 69, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.